I received my A.B and M.A. in Mathematics from the University of California, Berkeley in 1976 and 1978 respectively. In 1982 I earned my Ph.D. in Mathematics from the University of Utah under the supervision of Ronald J. Stern. After receiving my doctorate I was awarded a National Science Foundation Postdoctoral Fellowship which allowed me to visit the Courant Institute of Mathematical Sciences at New York University. Subsequently I held positions at Rutgers University, Oregon State University, and Pomona College before coming to Pitzer in 1989. I have spent time visiting the University of Melbourne, Australia, the University of Hawaii, Manoa, and the Mathematical Sciences Research Institute, Berkeley, California.

I teach a variety of lower-division courses ranging from the traditional precalculus-calculus sequence to much more unusual courses designed for the liberal arts student, such as

- Math 10: The Mathematics of Games and Gambling
- Math 10: Rubik's Cube and Other Mathematical Puzzles'
- Math 10: Topology
- Math 10: Chaos, Fractals and Dynamical Systems

I also teach the following upper-division courses, usually in alternate years.

- Math 141: Hyperbolic Geometry
- Math 148: Knot Theory

Course descriptions can be found in the Pitzer Catalog.

My research interests are primarily in knot theory and low-dimensional topology. Over the years I have collaborated on the tabulation of all prime alternating knots through 18 crossings and prime nonalternating knots through 16 crossings. (This began as a project with six high school students at Claremont High School.) Together with Morwen Thistlethwaite, we have written a program called Knotscape that allows ready access to the knot tables as well as the computation of various knot invariants such as skein polynomials, representations of the fundamental group of a knot into permutation groups, and a number of hyperbolic invariants. I have also worked on skein modules of 3-manifolds and other problems that arise from the study of the skein polynomials of knots. I am also interested in hyperbolic knots and various geometric knot invariants such as the A-polynomial of knots. Most recently I have focussed on other invariants of knots, especially ones related to representations of the knot group.

Here is a list of my publications.

During the three summers of 2005, 2006, and 2007, I was director of the Claremont Colleges Mathematics REU and directed undergraduate students in summer research projects.

I have supervised the following students' Senior Thesis in Mathematics while in Claremont.

- Charlie McIntosh, Pitzer College, 2003.
- Rob Gaebler, Harvey Mudd College, 2004.
- Jessica May, Harvey Mudd College, 2006.
- Mayra Ibarra, Scripps College, 2010.
- Kristine Stanton, Pitzer College, 2011.
- Scott M. Garrabrant, Pitzer College, 2011.

- Journal of Knot Theory and its Ramifications, Associate Editor
- Involve, Associate Editor